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We study the linear and non-linear development of the Kruskal-Schwarzchild Instability in a relativisitically expanding striped wind. This instability is the generalization of Rayleigh-Taylor instability in the presence of a magnetic field.…

High Energy Astrophysical Phenomena · Physics 2017-12-27 Ramandeep Gill , Jonathan Granot , Yuri Lyubarsky

It is known that in a hydrodynamic Taylor-Couette system uniform rotation or a rotation law with positive shear ('super-rotation') are linearly stable. It is also known that a conducting fluid under the presence of a sufficiently strong…

Solar and Stellar Astrophysics · Physics 2016-02-17 G. Rüdiger , M. Schultz , M. Gellert , F. Stefani

Many solar filaments and prominences show short-lived horizontal threads lying parallel to the photosphere. In this work the possible link between Rayleigh-Taylor instabilities and thread lifetimes is investigated. This is done by…

Solar and Stellar Astrophysics · Physics 2015-06-04 J. Terradas , R. Oliver , J. L. Ballester

Hall instability in electron magnetohydrodynamics is interpreted as the shear-Hall instability driven jointly by helicoidal oscillations and shear in the electron current velocity. This explanation suggests an antiparallel orientation of…

Plasma Physics · Physics 2021-07-21 Leonid Kitchatinov

We consider the stability of a compressible shear flow separating two streams of different speeds and temperatures. The velocity and temperature profiles in this mixing layer are hyperbolic tangents. The normal mode analysis of the flow…

Astrophysics · Physics 2009-11-13 P. Caillol , M. Ruderman

The MHD flow driven by a travelling magnetic field (TMF) in an annular channel is investigated numerically. For sufficiently large magnetic Reynolds number Rm, or if a large enough pressure gradient is externally applied, the system…

Fluid Dynamics · Physics 2016-03-23 Christophe Gissinger , Paola Rodriguez-Imazio , Stephan Fauve

A necessary and sufficient condition for linear stability of inviscid parallel shear flow is formulated by a novel variational method, where the velocity profile is assumed to be monotonic and analytic. Unstable eigenvalues of the Rayleigh…

Fluid Dynamics · Physics 2013-09-03 Makoto Hirota , Philip J. Morrison , Yuji Hattori

We study the 3D magnetohydrodynamics (MHD) equations in an annular cylinder, perturbed around the explicit steady state given by the 3D Taylor-Couette velocity field and zero magnetic field. Combining a recent linear instability result for…

Analysis of PDEs · Mathematics 2025-10-15 Víctor Navarro-Fernández , David Villringer

The excitation conditions of the magnetorotational instability are studied for axially unbounded Taylor-Couette flows of various gap widths between the cylinders. The cylinders are considered as made from both perfect-conducting or…

Fluid Dynamics · Physics 2023-03-28 G. Rüdiger , M. Schultz

We present a two-loop field-theoretic analysis of incompressible helical magnetohydrodynamics (MHD) in fully developed stationary turbulence. A key feature of helical MHD is the appearance of an infrared-unstable ``mass-like'' term in the…

We study the modification of the classical criterion for the linear onset and growth rate of the Rayleigh-Taylor instability (RTI) in a partially ionized (PI) plasma in the one-fluid description, considering a generalized induction…

Solar and Stellar Astrophysics · Physics 2015-06-18 A. J. Diaz , E. Khomenko , M. Collados

A unique pattern selection in the absolutely unstable regime of a driven, nonlinear, open-flow system is analyzed: The spatiotemporal structures of rotationally symmetric vortices that propagate downstream in the annulus of the rotating…

patt-sol · Physics 2009-10-30 P. Buechel , M. Luecke , D. Roth , R. Schmitz

We present a linear analysis of the radiative Rayleigh-Taylor (RT) instability in the presence of magnetic field for both optically thin and thick regimes. When the flow is optically thin, magnetic field not only stabilizes perturbations…

Astrophysics of Galaxies · Physics 2018-03-28 Asiyeh Yaghoobi , Mohsen Shadmehri

The spiral core instability, observed in large aspect ratio Rayleigh-Benard convection, is studied numerically in the framework of the Swift-Hohenberg equation coupled to a large-scale flow. It is shown that the instability leads to…

patt-sol · Physics 2008-02-03 Igor Aranson , Michel Assenheimer , Victor Steinberg , Lev S. Tsimring

In weakly magnetized, dilute plasmas in which thermal conduction along magnetic field lines is important, the usual convective stability criterion is modified. Instead of depending on entropy gradients, instability occurs for small…

Astrophysics · Physics 2009-11-13 Ian J. Parrish , James M. Stone

We investigate the evolution of magnetohydrodynamic/hydromagnetic perturbations in the presence of stochastic noise in rotating shear flows. The particular emphasis is the flows whose angular velocity decreases but specific angular momentum…

High Energy Astrophysical Phenomena · Physics 2013-07-24 Sujit K. Nath , Banibrata Mukhopadhyay , Amit K. Chattopadhyay

Three eigenvalue bounds are derived for the instability of ideal compressible stratified magnetohydrodynamic shear flows in which the base velocity, density, and magnetic field vary in two directions. The first bound can be obtained by…

Fluid Dynamics · Physics 2021-07-07 Kengo Deguchi

We study the Couette Taylor instabilities for an incompressible viscous fluid between two coaxial cylinders of nearly equal radii, allowing counter-rotation with the ratio of rotation rate $\mu \in [-1,1]$. Working in a rotating frame and…

Analysis of PDEs · Mathematics 2026-03-23 Dongfen Bian , Emmanuel Grenier , Gérard Iooss , Zhuolun Yang

Axisymmetric magnetorotational instability (MRI) in viscous accretion disks is investigated by linear analysis and two-dimensional nonlinear simulations. The linear growth of the viscous MRI is characterized by the Reynolds number defined…

Astrophysics · Physics 2009-11-13 Youhei Masada , Takayoshi Sano

This study is devoted to the experimental analysis of the Strato-rotational Instability (SRI). This instability affects the classical cylindrical Couette flow when the fluid is stably stratified in the axial direction. In agreement with…

Astrophysics · Physics 2008-11-26 M. Le Bars , P. Le Gal